Acoustics and vibration analysis of double cylindrical shell with lightweight auxetic metamaterial ribs
XIA Lifu YANG Deqing
State Key Laboratory of Ocean Engineering, Collaboration Innovation Center for Advanced Ship and Deep-sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
A new type of double cylindrical shell with lightweight auxetic metamaterial ribs was designed under the premise of ensuring the load-bearing capacity to explore its application in the submarine cabins for reducing the vibration and noise caused by the working of equipments.By adjusting the width of auxetic ribs, the overall stiffness and load-bearing capacity were adjustable.At the same time, keeping unchanged the weight of basic functional primitives, the effect of the number of layers of cell unit on the double shell’s vibration isolation and acoustic radiation performance were studied.The structure strength, natural frequency, acceleration response, vibration level difference, radiation pressure and vibration transmission rate were provided with different width of auxetic ribs, different Poisson ratio and various layer number of cell unit.By comparing with conventional double shell structures, the lightweight performance, good vibration performance and fine acoustic performance of the double shell structure with auxetic metamaterial ribs were confirmed.
[1] 商德江，何祚镛.加肋双层圆柱壳振动声辐射数值计算分析[J].声学学报, 2001, 26(3):193-201
SHANG Dejiang，HE Zuoyong. The numerical analysis of sound and vibration from a ring-stiffened cylindrical double-shell by FEM and BEM[J]. ACTA ACOUSTICA, 2001,26(3):193-201.
[2] 徐张明，汪玉，华宏星，等．双层壳体的船舶动力舱振动与声辐射的有限元结合边界元数值计算[J]．中国造船，2002，43(4)：39-44．
XU Zhangming，WANG Yu，HUA Hongxing，eta1．Numerical calculation of vibro-acoustic behavior of simulated ship dynamic cabin with double-shell by FEM/BEM[J]．Shipbuilding of China，2002，43(4)：39-44．
[3] 金广文，章林柯，缪旭弘，等．水下加肋双层圆柱壳体振动传递特性分析[J]. 振动与冲击, 2011, 30(5):218-221.
JIN Guangwen，Zhang Linke，MIAO Xuhong， eta1．Vibration transmissibility of a submerged cylindrical double-shell based on reconstructing Velocity field. Journal of Vibration and Shock, 2011, 30(5):218-221.
[4] BELEGUNDU A D，CONSTANS E W．Minimizing radiated sound power from vibrating shells structures：theory and experiment[C] Proceedings of the Conference Oil Optimization in Industry，1997，3：23-27．
[5] 陈美霞, 徐鑫彤, 魏建辉, 等.非均匀圆柱壳振动及声辐射特性优化设计[J].船舶力学, 2013, 17(1-2):164-170
CHEN Meixia，XU Xintong，WEI Jianhui，etal. Optimization design of vibro-acoustic behavior of non-uniform stiffened cylindrical shell.[J]，Journal of Ship Mechanics， 2013,17(1-2):164-170.
[6] 夏齐强，楼伟锋，陈志坚．双层圆柱壳结构减振设计及模型试验研究[J]. 船舶力学, 2016, 20(1-2):148-158.
XIA Qiqiang，LOU Weifeng，CHEN Zhijian，Study on vibration reduction design for double cylindrical shell and model testing[J]. Journal of Ship Mechanics，2016, 20(1-2):148-158.
[7] Lim T C. Auxetic Materials and Structures[M]. Singapore: Springer, 2015.
[8] Scarpa F．Theoretical characteristics of the vibration of sandwich plates with in—plane negative poisson’S ratio values[J]．Journal of Sound and Vibration，2000，230(1):45-67．
[9] Idczak E, Strek T. Computational modelling of vibrations transmission loss of auxetic lattice structure[J]. Vibrations in Physical Systems, 2016,27:123-128.
[10] 张相闻，杨德庆．船用新型抗冲击隔振蜂窝基座[J]. 振动与冲击, 2015, 34(10):40-45.
ZHANG Xiangwen, YANG Deqing. A novel marine impact resistance and vibration isolation cellular base[J], Journal of Vibration and Shock , 2015, 34(10):40-45.
[11] Xiang-Wen Zhang and De-Qing Yang, Numerical and Experimental Studies of a Light-Weight Auxetic Cellular Vibration Isolation Base[J]．Shock and Vibration, vol. 2016, Article ID 4017534, 16 pages, 2016.
[12] 杰罗夫．水声学波动问题[M]．何祚镛，赵晋英，译．北京：国防工业出版社，1983．
